Raphaël Côte

867 total citations
27 papers, 395 citations indexed

About

Raphaël Côte is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Raphaël Côte has authored 27 papers receiving a total of 395 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 15 papers in Statistical and Nonlinear Physics and 7 papers in Applied Mathematics. Recurrent topics in Raphaël Côte's work include Advanced Mathematical Physics Problems (25 papers), Nonlinear Waves and Solitons (15 papers) and Nonlinear Photonic Systems (10 papers). Raphaël Côte is often cited by papers focused on Advanced Mathematical Physics Problems (25 papers), Nonlinear Waves and Solitons (15 papers) and Nonlinear Photonic Systems (10 papers). Raphaël Côte collaborates with scholars based in France, United States and Spain. Raphaël Côte's co-authors include Frank Merle, Yvan Martel, Carlos E. Kenig, Claudio Muñoz, Wilhelm Schlag, Hatem Zaag, Andrew Lawrie, Stefan Le Coz, Gideon Simpson and Didier Pilod and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Magnetism and Magnetic Materials and Communications on Pure and Applied Mathematics.

In The Last Decade

Raphaël Côte

25 papers receiving 361 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Raphaël Côte France 14 370 260 113 79 14 27 395
Luiz Gustavo Farah Brazil 11 351 0.9× 263 1.0× 174 1.5× 79 1.0× 19 1.4× 31 389
Ademir Pastor Brazil 11 398 1.1× 349 1.3× 143 1.3× 65 0.8× 7 0.5× 43 444
Stefan Le Coz France 11 253 0.7× 173 0.7× 87 0.8× 53 0.7× 5 0.4× 18 307
M. Scialom Brazil 11 276 0.7× 210 0.8× 105 0.9× 68 0.9× 24 1.7× 22 329
N. Tzvetkov France 10 476 1.3× 345 1.3× 256 2.3× 99 1.3× 9 0.6× 15 510
Francis Ribaud France 13 671 1.8× 458 1.8× 382 3.4× 158 2.0× 15 1.1× 19 703
Philippe Gravejat France 13 264 0.7× 249 1.0× 59 0.5× 14 0.2× 13 0.9× 21 329
Kimitoshi Tsutaya Japan 10 306 0.8× 164 0.6× 118 1.0× 101 1.3× 20 1.4× 33 335
Nakao Hayashi Japan 15 624 1.7× 299 1.1× 209 1.8× 252 3.2× 13 0.9× 71 647
Soonsik Kwon South Korea 11 294 0.8× 183 0.7× 134 1.2× 61 0.8× 18 1.3× 23 320

Countries citing papers authored by Raphaël Côte

Since Specialization
Citations

This map shows the geographic impact of Raphaël Côte's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Raphaël Côte with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Raphaël Côte more than expected).

Fields of papers citing papers by Raphaël Côte

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Raphaël Côte. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Raphaël Côte. The network helps show where Raphaël Côte may publish in the future.

Co-authorship network of co-authors of Raphaël Côte

This figure shows the co-authorship network connecting the top 25 collaborators of Raphaël Côte. A scholar is included among the top collaborators of Raphaël Côte based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Raphaël Côte. Raphaël Côte is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Côte, Raphaël, et al.. (2024). Perturbation at Blow-Up Time of Self-Similar Solutions for the Modified Korteweg–de Vries Equation. Archive for Rational Mechanics and Analysis. 248(2). 1 indexed citations
2.
Côte, Raphaël, et al.. (2023). Asymptotic Stability of 2-Domain Walls for the Landau–Lifshitz–Gilbert Equation in a Nanowire With Dzyaloshinskii–Moriya Interaction. International Mathematics Research Notices. 2024(4). 3551–3600.
3.
Côte, Raphaël, et al.. (2022). Asymptotics of solutions with a compactness property for the nonlinear damped Klein–Gordon equation. Nonlinear Analysis. 218. 112768–112768.
5.
Côte, Raphaël & Camille Laurent. (2022). Concentration close to the cone for linear waves. Revista Matemática Iberoamericana. 40(1). 201–250. 2 indexed citations
6.
Côte, Raphaël, et al.. (2021). Polynomial growth of high sobolev norms of solutions to the Zakharov-Kuznetsov equation. Communications on Pure & Applied Analysis. 20(3). 1039–1058. 1 indexed citations
7.
Côte, Raphaël, et al.. (2021). Description and Classification of 2-Solitary Waves for Nonlinear Damped Klein–Gordon Equations. Communications in Mathematical Physics. 388(3). 1557–1601. 3 indexed citations
8.
Côte, Raphaël, et al.. (2020). On smoothness and uniqueness of multi-solitons of the non-linear\n Schr{\\"o}dinger equations. arXiv (Cornell University). 7 indexed citations
9.
Côte, Raphaël, et al.. (2020). Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation. Journal de Mathématiques Pures et Appliquées. 137. 101–142. 4 indexed citations
10.
Côte, Raphaël & Yvan Martel. (2017). Multi-travelling waves for the nonlinear Klein-Gordon equation. Transactions of the American Mathematical Society. 370(10). 7461–7487. 18 indexed citations
11.
Côte, Raphaël & Stefan Le Coz. (2016). 1 HIGH SPEED EXCITED MULTI-SOLITONS IN NONLINEAR SCHRODINGER EQUATIONS. 19 indexed citations
12.
Côte, Raphaël, Carlos E. Kenig, Andrew Lawrie, & Wilhelm Schlag. (2015). Characterization of large energy solutions of the equivariant wave map problem: II. American Journal of Mathematics. 137(1). 209–250. 19 indexed citations
13.
Côte, Raphaël, Carlos E. Kenig, Andrew Lawrie, & Wilhelm Schlag. (2015). Characterization of large energy solutions of the equivariant wave map problem: I. American Journal of Mathematics. 137(1). 139–207. 25 indexed citations
14.
Côte, Raphaël & Hatem Zaag. (2013). Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension. Communications on Pure and Applied Mathematics. 66(10). 1541–1581. 31 indexed citations
15.
Côte, Raphaël. (2013). Soliton resolution for equivariant wave maps to the sphere. arXiv (Cornell University). 28 indexed citations
16.
Côte, Raphaël, Carlos E. Kenig, & Wilhelm Schlag. (2013). Energy partition for the linear radial wave equation. Mathematische Annalen. 358(3-4). 573–607. 24 indexed citations
17.
Côte, Raphaël & Claudio Muñoz. (2012). Multi-solitons for nonlinear Klein-Gordon equations. arXiv (Cornell University). 27 indexed citations
18.
Côte, Raphaël & Luis Vega. (2008). Scaling-sharp dispersive estimates for the Korteweg–de Vries group. Comptes Rendus Mathématique. 346(15-16). 845–848. 1 indexed citations
19.
Côte, Raphaël. (2007). Construction of solutions to the L2-critical KdV equation with a given asymptotic behaviour. Duke Mathematical Journal. 138(3). 14 indexed citations
20.
Côte, Raphaël. (2006). Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior. Journal of Functional Analysis. 241(1). 143–211. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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